Mathematical models for HIV treatment : A schematic review

被引：3

作者：

Buratto, Alessandra ^{[1
]}

Cesaretto, Rudy ^{[1
]}

Zamarchi, Rita ^{[2
]}

机构：

[1] Univ Padua, Dept Math, I-35122 Padua, Italy

[2] Veneto Inst Oncol IOV IRCCS, I-35128 Padua, Italy

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2020年 / 23卷 / 03期

关键词：

Mathematical modeling; Human Immunodeficiency Virus (HIV); Acquired Immunodeficiency Syndrome (AIDS); Viral Dynamics; Dynamical Systems; Optimal Control; EVOLUTIONARY DYNAMICS; IMMUNE-RESPONSES; STOCHASTIC-MODEL; DOUBLE INFECTION; VIRUS; THERAPY; VIREMIA; MEMORY; CHEMOTHERAPY; CELLS;

D O I：

10.1080/09720502.2020.1732049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This review examines mathematical models related to the treatment of Human Immunodeficiency Virus (HIV) and Acquired Immunodeficiency Syndrome (AIDS). The analysis is based on two criteria: the physio-pathological one and the mathematical one. The former criterion checks the presence and possible differentiation of uninfected and infected T lymphocytes, of immune cells and of viruses. The latter criterion distinguishes among dynamic systems, optimal control, and differential game approaches. A schematic table collects the results of this analysis and allows the reader to find out at a glance both the physiopathological and the mathematical characteristics of each cited model.

引用

页码：707 / 725

页数：19

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